(38-4) 16 * <<>> * Russian * English * Content * All Issues

The solution of an expanded pulse – propagation equation in optical fibers for competing nonlinearity
I.V. Alimenkov, Y.Z. Pchelkina

 

Samara State Aerospace University

PDF, 159 kB

Full text of article: Russian language.

DOI: 10.18287/0134-2452-2014-38-4-686-688

Pages: 686-688.

Abstract:
Solutions of the expanded pulse-propagation equation are derived in elementary functions in optical fibers for competing nonlinearit.

Key words:
optical fiber, expanded pulse – propagation equation, the exact solution, competing nonlinearity, solitonic solution.

Citation:
Alimenkov IV, Pchelkina YZ. The solution of an expanded pulse – propagation equation in optical fibers for competing nonlinearity. Computer Optics 2014; 38(4): 686-688. DOI: 10.18287/0134-2452-2014-38-4-686-688.

References:

  1. Agrawal, G.P. Nonlinear Fiber Optics. – Moscow: “ Mir” Publisher, 1996. – 324 p. – (In Russian).
  2. Alimenkov, I.V. Solution of expanded pulse-propagation equation for optical fiber / I.V. Alimenkov, Y.Z. Pchelkina // Computer Optics – 2014.–V. 38(1). – P. 28 - 30.
  3. Lin, C. Foundations for Guided-Wave Optics / Lin Chen // Wiley. – 2007. – 462 p.
  4. El-Wakil, S.A. New periodic and soliton solutions of nonlinear evolution equations // Applied Mathematics And Computation. – 2008. – V. 197. – P. 497-506.
  5. Chen, L. Foundations for Guided-Wave Optics / Lin Chen. – Wiley, 2007. – 462 p.
  6. El-Wakil, S.A. New periodic and soliton solutions of nonlinear evolution equations // Applied Mathematics and Computation. – 2008. – Vol. 197. – P. 497-506.
  7. Alimenkov, I.V. Solution of expanded pulse-propagation equation for optical fiber / I.V. Alimenkov, Y.Z. Pchelkina // Computer Optics. – 2014. – Vol. 38(1). – P. 28-30.
  8. Alimenkov, I.V. Integration in elementary functions of two-way pulse-propagation equation in optical fiber for power nonlinearity / I.V. Alimenkov, Y.Z. Pchelkina // Computer Optics. – 2014. – Vol. 38(3). – P. 204-206.
  9. Kivshar, Y.S. Optical solitons. From Fibers to Photonic Grystals / Y.S. Kivshar, G.P. Agrawal. – Moscow: “Fizmatlit” Publisher, 2005. – 648 p. – (In Russian).
  10. Alimenkov, I.V. Solution in quadratyres of expanded pulse-propagation equation for optical fiber for an arbitrary nonlinearity / I.V. Alimenkov, Y.Z. Pchelkina // Computer Optics. – 2014. – Vol. 38(2).– P. 204-206.
  11. Dwight, H.B Tables of integrals and other mathematical data. – Moscow: “Nauka” Publisher, 1977. – 224 p. – (In Russian).
  12. Takhtajan, L.A. Hamilton approach in theory of solitons / L.A. Takhtajan, L.D. Faddeev. – Moscow: “Nauka” Publisher, 1986. – 528 p. – (In Russian).

© 2009, IPSI RAS
151, Molodogvardeiskaya str., Samara, 443001, Russia; E-mail:journal@computeroptics.ru; Tel: +7 (846) 242-41-24 (Executive secretary), +7 (846) 332-56-22 (Issuing editor), Fax: +7 (846) 332-56-20